in order to exclude the extra charged zero modes. The wrapping numbers on
\(E2_{M}\)  are \(2(1,0)(1,-1)(1,1/2)\) , which are determined by the
constraints Eq. (REF ) and Eq. (REF ), as shown in table 1.
The number of triangles on each torus is 1, contributing to
\(H^{ij}_{u}\lambda _{a}^{i}\bar{\lambda }_{b}^{j}e^{-\mathcal {A}_{i}}\) 
and
\(H^{ij}_{d}\lambda _{a}^{i}\bar{\lambda }_{b}^{j}e^{-\mathcal {A}_{i}}\) 
terms respectively for intersecting \((b,c)\)  and \((b,c^{*})\)  branes.
This generates a \(\mu H_{u}H_{d}\)  term non-perturbatively
in four-dimensional effective theory, as desired [1]}, [2]}, [3]}.
